Nonhomogeneous Boundary Value Problem for One-Dimensional Compressible Viscous Micropolar Fluid Model: Regularity of the Solution
© Nermina Mujaković. 2008
Received: 22 June 2008
Accepted: 22 October 2008
Published: 30 October 2008
An initial-boundary value problem for 1D flow of a compressible viscous heat-conducting micropolar fluid is considered; the fluid is thermodynamically perfect and polytropic. Assuming that the initial data are Hölder continuous on and transforming the original problem into homogeneous one, we prove that the state function is Hölder continuous on , for each . The proof is based on a global-in-time existence theorem obtained in the previous research paper and on a theory of parabolic equations.
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